Hecklers who tried to question King Charles about Andrew Mountbatten-Windsor were told to "shut up" by a woman in the crowd as thousands cheered during a royal visit to Cornwall earlier.

One man asked the King if he was "covering" for Mountbatten-Windsor, while another asked: "Why are you still sheltering him?"

There was no response from the royal party but the hecklers were told to "shut up" by one woman among the crowds who turned out to see the King and Queen.

Earlier King Charles III and Queen Camilla giggled while struggling to cut a cake with a sword at the Eden Project and the King pulled a pint of beer during another engagement in St Austell.

The King and Queen were at the Eden Project to mark its 25th anniversary.

As they were shown around the site, Charles, a former Duke of Cornwall who has visited a number of times before, said: "I remember when I first came here there was nothing – amazing how it's developed and grown."

There was laughter when they arrived at the landmark Millennium initiative that transformed a clay pit with massive geodesic biomes featuring plant life from around the world to highlight humanity's reliance on nature.

The King's state limousine made a wrong turn on the sprawling site and disappeared before doubling back, and Charles quipped as he stepped from the vehicle: "Now you see us, now you don't."

During the visit the couple launched The Big Lunch and The Big Help Out, a national celebration of community taking place on June 5-8, and met volunteers and local community and charity groups from across the county enjoying lunch.

A cake showing a street scene of tiny characters enjoying lunch at tables or volunteering in front of a row of houses marked the June event, and Colonel Sir Edward Bolitho, Lord Lieutenant of Cornwall, handed his sword to the couple.

The King and Queen giggled as they strained to cut through the row of houses, perhaps because they were using the end of a sword and so had to use more force.

Eden Project chief executive Andy Jasper said it had been a great day as the King and Queen met community groups from all walks of life.

"The King is really interested in how Eden is just growing and he loves the sustainability aspect of this," said Jasper.

"He loves the gardens and he was just telling me how he loves to come back and see how it grows.

"He really loved just seeing how warm the biomes are and how we have the thousands of years old olive trees here, he was very interested in those as well."

Charles also tried rolling large wooden marbles from a storm-felled ash tree from the Duchy of Cornwall Estate down a wooden gully – a 25th anniversary Eden Project scheme raising funds for tree planting in Cornwall – and they met the expert teams behind the attraction's gardens.

After leaving the Eden Project, the royal couple met local community groups at Holy Trinity Church in St Austell.

While Charles met teenagers and adults from the Young People Cornwall organisation and faith leaders, Camilla chatted with school children, staff and volunteers from the town's library.

Camilla watched as reception age children from Mount Charles Primary School in St Austell sang Twinkle, Twinkle, Little Star to her.

The royal couple then walked a short distance to the Grade II-listed Market House to hear about regeneration plans for the building and local area.

Afterwards, they went outside to meet some of the hundreds of well-wishers who had lined Market Hill to catch a glimpse of the couple.

Later, during a visit to the Market House in St Austell town centre, the King had a go at pulling a pint of the alcohol-free Proper Job 0.5% ale.

As he put the glass up to the tap, he asked: "Is this one of your new ones?"

He was told it was the alcohol-free version of the popular Cornish beer.

Shortly before holding up his effort to the cameras and taking a sip, Charles was reunited with Camilla after they separately met different groups of people.

Camilla told her husband: "We've come from the other direction. I was told I must catch up with you."

Andrew Mountbatten Windsor has denied any wrongdoing in connection with his relationship with Jeffrey Epstein.

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